Answer the following question by using Venn diagram on the basis of the given statements and conclusions. You have to assume all the statements there, decide which of the given conclusions logically follows from the information given in the statements.
Statements:
I. Some shirts are pants.
II. All shoes are shirts.
III. All pants are gloves.
Conclusions:
I. Some shoes are gloves.
II. Some shirts are gloves.
III. No pants are shoes.
IV. All gloves are shirts.
Answer & explanation
Correct answer: option 1
The correct answer is Option (1) → Only II follows
A conclusion follows only if it is true in every diagram that fits the statements. The picture shows one such diagram: shoes inside shirts, pants inside gloves, and shirts and pants overlapping.
I. Some shoes are gloves. Does not follow. The shoes need only be somewhere inside shirts; they can lie away from the pants and the gloves, as drawn.
II. Some shirts are gloves. Follows. The shirts that are pants (statement I) are also gloves, because all pants are gloves (statement III).
III. No pants are shoes. Does not follow. Shoes and pants both lie in shirts, so they may overlap; nothing rules it out.
IV. All gloves are shirts. Does not follow. The statements put pants inside gloves, but say nothing that puts gloves inside shirts; most of the gloves circle lies outside.